Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | Q8×M16×C47 ⋊ C2 |
| Sylow | C47 ⋊ #9254 |
534 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=dfgh,c^2=h,d^2=gh,e^2=gh,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^46,d^b=dh,e^b=egh,f^b=fh,d^c=dgh,e^c=egh,f^c=fgh1193 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 65980);